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Simplifying 4z + -9 + 4z + 6 = 2z + 9 Reorder the terms: -9 + 6 + 4z + 4z = 2z + 9 Combine like terms: -9 + 6 = -3 -3 + 4z + 4z = 2z + 9 Combine like terms: 4z + 4z = 8z -3 + 8z = 2z + 9 Reorder the terms: -3 + 8z = 9 + 2z Solving -3 + 8z = 9 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -3 + 8z + -2z = 9 + 2z + -2z Combine like terms: 8z + -2z = 6z -3 + 6z = 9 + 2z + -2z Combine like terms: 2z + -2z = 0 -3 + 6z = 9 + 0 -3 + 6z = 9 Add '3' to each side of the equation. -3 + 3 + 6z = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = 9 + 3 6z = 9 + 3 Combine like terms: 9 + 3 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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